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A note on a paper of J. D. Stein, Jr.: 'Sequence of regular finitely additive set functions' (Trans. Amer. Math. Soc. 192 (1974), 59–66)
- Source :
- Proceedings of the American Mathematical Society. 67:74-76
- Publication Year :
- 1977
- Publisher :
- American Mathematical Society (AMS), 1977.
-
Abstract
- Among other results, it is proved that if a sequence { μ n } \{ {\mu _n}\} of regular measures on a Hausdorff space, with values in a normed group, is convergent to zero for all σ \sigma -compact sets or all open sets, then there exists a maximal open set U such that μ ˙ n ( U ) → 0 , { μ ˙ n } {\dot \mu _n}(U) \to 0,\{ {\dot \mu _n}\} being the associated submeasures.
Details
- ISSN :
- 10886826 and 00029939
- Volume :
- 67
- Database :
- OpenAIRE
- Journal :
- Proceedings of the American Mathematical Society
- Accession number :
- edsair.doi...........ef2014c79c6385da3965d51f224770ff